Euclidean symmetry and the dynamics of rotating spiral waves

Dwight Barkley
Phys. Rev. Lett. 72, 164 – Published 3 January 1994
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Abstract

It is shown that the dynamics of spiral waves in excitable media are organized around a codimension-two point where a Hopf bifurcation from rotating waves interacts with Euclidean symmetry. A simple ordinary-differential-equation model of this bifurcation generates dynamics like the ‘‘meandering’’ of spiral waves.

  • Received 1 July 1993

DOI:https://doi.org/10.1103/PhysRevLett.72.164

©1994 American Physical Society

Authors & Affiliations

Dwight Barkley

  • Department of Mathematics and Center for Nonlinear Dynamics, University of Texas, Austin, Texas 78712
  • Laboratoire de Physique, Ecole Normale Supérieure de Lyon, 46 Allée d’Italie, 69364 Lyon, France

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Issue

Vol. 72, Iss. 1 — 3 January 1994

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